A bakery starts the day with 60 kg of flour. It uses \(\dfrac{2}{5}\) of the flour to make bread, then uses \(\dfrac{1}{3}\) of what remains to make cakes. ...
Question 1 Report
A bakery starts the day with 60 kg of flour. It uses \(\dfrac{2}{5}\) of the flour to make bread, then uses \(\dfrac{1}{3}\) of what remains to make cakes.
- Work out how much flour remains after the bread is made. (2)
- Work out how much flour is used to make the cakes. (1)
- Work out how much flour is left after both the bread and the cakes are made. (1)
Answer Details
(a) The flour used for bread is \(\dfrac{2}{5}\) of the starting \(60\) kg: \(60\times\dfrac{2}{5}=24\) kg. Subtracting this from the total gives the flour remaining: \(60-24=36\) kg. [2 marks]
(b) The cakes use \(\dfrac{1}{3}\) of what remains after the bread, not \(\dfrac{1}{3}\) of the original \(60\) kg: \(36\times\dfrac{1}{3}=12\) kg. [1 mark]
(c) Subtracting the flour used for cakes from what remained after the bread: \(36-12=24\) kg is left. [1 mark]
Applying the second fraction, \(\dfrac{1}{3}\), to the \(36\) kg left after the bread rather than to the original \(60\) kg is essential; the two fractions in this question act on different amounts, one after the other, not on the same starting total.
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